{"id":43546,"date":"2024-04-15T21:30:59","date_gmt":"2024-04-15T21:30:59","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=43546"},"modified":"2024-04-15T21:30:59","modified_gmt":"2024-04-15T21:30:59","slug":"2-3-3-5-10-13-43-172-177","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/2-3-3-5-10-13-43-172-177\/","title":{"rendered":"2, 3, 3, 5, 10, 13, ?, 43, 172, 177"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;23&#8243; option2=&#8221;38&#8243; option3=&#8221;39&#8243; option4=&#8221;40&#8243; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The answer is $\\boxed{38}$.<\/p>\n<p>The sequence is generated by the following formula:<\/p>\n<p>$a_n = \\begin{cases} 2 &amp; \\text{if } n = 1 \\\\ 3 + (n &#8211; 1) \\cdot 2 &amp; \\text{if } n &gt; 1 \\end{cases}$<\/p>\n<p>In other words, the first term is 2, and each subsequent term is 2 more than the previous term.<\/p>\n<p>Therefore, the seventh term is $3 + (7 &#8211; 1) \\cdot 2 = 38$.<\/p>\n<p>Option A, 23, is incorrect because it is not generated by the given formula.<\/p>\n<p>Option B, 38, is correct because it is generated by the given formula.<\/p>\n<p>Option C, 39, is incorrect because it is not generated by the given formula.<\/p>\n<p>Option D, 40, is incorrect because it is not generated by the given formula.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;23&#8243; option2=&#8221;38&#8243; option3=&#8221;39&#8243; option4=&#8221;40&#8243; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[726],"tags":[],"class_list":["post-43546","post","type-post","status-publish","format-standard","hentry","category-series-completion","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>2, 3, 3, 5, 10, 13, ?, 43, 172, 177<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/2-3-3-5-10-13-43-172-177\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"2, 3, 3, 5, 10, 13, ?, 43, 172, 177\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;23&#8243; option2=&#8221;38&#8243; option3=&#8221;39&#8243; option4=&#8221;40&#8243; correct=&#8221;option3&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/2-3-3-5-10-13-43-172-177\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T21:30:59+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"2, 3, 3, 5, 10, 13, ?, 43, 172, 177","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/2-3-3-5-10-13-43-172-177\/","og_locale":"en_US","og_type":"article","og_title":"2, 3, 3, 5, 10, 13, ?, 43, 172, 177","og_description":"[amp_mcq option1=&#8221;23&#8243; option2=&#8221;38&#8243; option3=&#8221;39&#8243; option4=&#8221;40&#8243; correct=&#8221;option3&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/2-3-3-5-10-13-43-172-177\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T21:30:59+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/2-3-3-5-10-13-43-172-177\/","url":"https:\/\/exam.pscnotes.com\/mcq\/2-3-3-5-10-13-43-172-177\/","name":"2, 3, 3, 5, 10, 13, ?, 43, 172, 177","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T21:30:59+00:00","dateModified":"2024-04-15T21:30:59+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/2-3-3-5-10-13-43-172-177\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/2-3-3-5-10-13-43-172-177\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/2-3-3-5-10-13-43-172-177\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Competitive reasoning","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/competitive-reasoning\/"},{"@type":"ListItem","position":4,"name":"Series completion","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/competitive-reasoning\/series-completion\/"},{"@type":"ListItem","position":5,"name":"2, 3, 3, 5, 10, 13, ?, 43, 172, 177"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/43546","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=43546"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/43546\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=43546"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=43546"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=43546"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}